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102310033200 = 2435285258361
BaseRepresentation
bin101111101001000100…
…1110011011100110000
3100210002011101012001220
41133102021303130300
53134012332030300
6115000043025040
710251223635114
oct1372211633460
9323064335056
10102310033200
113a43138a251
12179b350b180
1398562885ab
144d47b81744
1529dbe3dda0
hex17d2273730

102310033200 has 60 divisors (see below), whose sum is σ = 327733143528. Its totient is φ = 27282675200.

The previous prime is 102310033187. The next prime is 102310033213. The reversal of 102310033200 is 2330013201.

It is an interprime number because it is at equal distance from previous prime (102310033187) and next prime (102310033213).

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 102310033200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42627981 + ... + 42630380.

Almost surely, 2102310033200 is an apocalyptic number.

102310033200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102310033200 is an abundant number, since it is smaller than the sum of its proper divisors (225423110328).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102310033200 is a wasteful number, since it uses less digits than its factorization.

102310033200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85258382 (or 85258371 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 102310033200 its reverse (2330013201), we get a palindrome (104640046401).

The spelling of 102310033200 in words is "one hundred two billion, three hundred ten million, thirty-three thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 85258361 170516722 255775083 341033444 426291805 511550166 682066888 852583610 1023100332 1278875415 1364133776 1705167220 2046200664 2131459025 2557750830 3410334440 4092401328 4262918050 5115501660 6394377075 6820668880 8525836100 10231003320 12788754150 17051672200 20462006640 25577508300 34103344400 51155016600 102310033200